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<div class="title">cayley_graph.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef CAYLEY_GRAPH_H_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define CAYLEY_GRAPH_H_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/graph/adjacency_list.hpp&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/graph/graph_utility.hpp&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/optional.hpp&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;stack&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;group.h&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &quot;group_relation.h&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> G&gt;</div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html">   24</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcCayleyGrf.html">cCayleyGrf</a></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;{</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> G::ElementType ElemType;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typedef</span> boost::adjacency_list&lt;boost::vecS, boost::vecS, boost::bidirectionalS,</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;            boost::no_property, std::pair&lt;std::size_t, bool&gt; &gt; Graph;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::graph_traits&lt;Graph&gt;::vertex_descriptor Vertex;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::graph_traits&lt;Graph&gt;::edge_descriptor Edge;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::graph_traits&lt;Graph&gt;::vertex_iterator VertexIterator;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::graph_traits&lt;Graph&gt;::out_edge_iterator outEdge;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::graph_traits&lt;Graph&gt;::in_edge_iterator inEdge;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a>()</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        :m_Graph(<span class="keyword">nullptr</span>)</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    {}</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a>(std::vector&lt;ElemType&gt; &amp;elements, std::vector&lt;ElemType&gt; &amp;generators)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        :m_Elements(elements),</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;         m_Generators(generators),</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;         m_Graph(<span class="keyword">nullptr</span>)</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    {}</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a>(G &amp;group)</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        :m_Graph(<span class="keyword">nullptr</span>)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        m_Elements = group.GetElementsDimino();</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        m_Generators = group.GetGeneratorsSet();</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    }</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    ~<a class="code" href="classcCayleyGrf.html">cCayleyGrf</a>()</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    {</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">if</span>(<span class="keyword">nullptr</span> != m_Graph)</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keyword">delete</span> m_Graph;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keywordtype">void</span> initGraph(<span class="keyword">const</span> std::vector&lt;ElemType&gt; &amp;elements, <span class="keyword">const</span> std::vector&lt;ElemType&gt; &amp;generators)</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    {</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        m_Elements = elements;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        m_Generators = generators;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="comment">//copy constructor and assignment op</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a>(<span class="keyword">const</span> <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a> &amp;graph)</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    {</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        m_Elements = graph.m_Elements;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        m_Generators = graph.m_Generators;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span>(<span class="keyword">nullptr</span> != graph.m_Graph)</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            m_Graph = <span class="keyword">new</span> Graph(*graph.<a class="code" href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">GetGraph</a>());</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a> &amp;operator=(<span class="keyword">const</span> <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a> &amp;graph)</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    {</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span>(<span class="keyword">this</span> != &amp;graph)</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        {</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            m_Elements = graph.m_Elements;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            m_Generators = graph.m_Generators;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            <span class="keywordflow">if</span>(<span class="keyword">nullptr</span> != graph.m_Graph)</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                m_Graph = <span class="keyword">new</span> Graph(*graph.<a class="code" href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">GetGraph</a>());</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    }</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html#a4a0ff02aa7bb9d556456b34e9f66f3d9">   92</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcCayleyGrf.html#a4a0ff02aa7bb9d556456b34e9f66f3d9">BuildGraph</a>()</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    {</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        assert(<span class="keyword">nullptr</span> == m_Graph);</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        m_Graph = <span class="keyword">new</span> Graph(m_Elements.size());</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">//add edges</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">for</span>(std::size_t index_gen = 0; index_gen &lt; m_Generators.size(); index_gen++)</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        {</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            <span class="keywordflow">for</span>(std::size_t index_el = 0; index_el &lt; m_Elements.size(); index_el++)</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            {</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                ElemType result = m_Elements[index_el].GetBinaryOp()(m_Elements[index_el],</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                  m_Generators[index_gen]);</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                assert(m_Elements.end() != std::find(m_Elements.begin(),</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                                                     m_Elements.end(), result));</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                Vertex source, target;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                Edge edge;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                target = (*vertices(*m_Graph).first) +</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                         (std::find(m_Elements.begin(), m_Elements.end(), result) - m_Elements.begin());</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                source = (*vertices(*m_Graph).first) + index_el;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                edge = add_edge(source, target, *m_Graph).first;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                (*m_Graph)[edge].first = index_gen;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                (*m_Graph)[edge].second = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    }</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html#a8517436f6101a294fa7f30355efaa196">  126</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcCayleyGrf.html#a8517436f6101a294fa7f30355efaa196">BuildDefRelations</a>()</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        assert(<span class="keyword">nullptr</span> != m_Graph);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        std::vector&lt;Edge&gt; UncolouredEdges;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        std::vector&lt;std::size_t&gt; SpanningTree;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        SpanningTree.resize(boost::num_vertices(*m_Graph));</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="comment">//colour edges of the spanning tree</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <a class="code" href="classcCayleyGrf_1_1cColourEdgesVis.html">cColourEdgesVis&lt;Edge, Graph &gt;</a> colour_visitor(UncolouredEdges, SpanningTree);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        boost::depth_first_search((*m_Graph), boost::visitor(colour_visitor));</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="comment">//while there are uncoloured edges</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> edges_it = UncolouredEdges.begin(); edges_it != UncolouredEdges.end(); edges_it++)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            <span class="keywordflow">if</span>(<span class="keyword">false</span> == (*m_Graph)[*edges_it].second) <span class="comment">//if edge is not coloured</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                <a class="code" href="classcCayleyGrf.html#a1d6153e03d163ea10242b4088091c705">Add_DefRelation</a>(*edges_it, SpanningTree);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                (*m_Graph)[*edges_it].second = <span class="keyword">true</span>;    <span class="comment">//colour edge</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                <span class="comment">//determine all deductions</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                <a class="code" href="classcCayleyGrf.html#a2598371d6a962b027539109023bc65b5">TraceRelations</a>();</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        }</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    }</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    <span class="comment">//output operator overloaded</span></div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out, <span class="keyword">const</span> <a class="code" href="classcCayleyGrf.html">cCayleyGrf</a> &amp;graph)</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    {</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <span class="comment">//print graph</span></div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        boost::print_graph(*graph.<a class="code" href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">GetGraph</a>());</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        <span class="comment">//print edges</span></div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        out&lt;&lt;<span class="stringliteral">&quot;\nEDGES:\n&quot;</span>;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        <span class="keywordflow">for</span>(std::size_t index_gen = 0; index_gen &lt; graph.m_Generators.size(); index_gen++)</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            out&lt;&lt;<span class="stringliteral">&quot;edge &quot;</span>&lt;&lt;index_gen&lt;&lt; <span class="stringliteral">&quot; :\n&quot;</span>&lt;&lt;graph.m_Generators[index_gen];</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <span class="comment">//print vertices</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        out&lt;&lt;<span class="stringliteral">&quot;\nVERTICES:\n&quot;</span>;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="keywordflow">for</span>(std::size_t index_el = 0; index_el &lt; graph.m_Elements.size(); index_el++)</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        {</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;            out&lt;&lt;<span class="stringliteral">&quot;vertex &quot;</span>&lt;&lt;index_el&lt;&lt; <span class="stringliteral">&quot; :\n&quot;</span>&lt;&lt;graph.m_Elements[index_el];</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        }</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;    <span class="keyword">const</span> std::vector&lt;cGroupRelation&gt;&amp; GetDefRelations()<span class="keyword">const</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        <span class="keywordflow">return</span> m_DefRelations;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    }</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">  184</a></span>&#160;    Graph* <a class="code" href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">GetGraph</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">return</span> m_Graph;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    }</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html#a1d6153e03d163ea10242b4088091c705">  194</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcCayleyGrf.html#a1d6153e03d163ea10242b4088091c705">Add_DefRelation</a>(<span class="keyword">const</span> Edge &amp;edge, std::vector&lt;std::size_t&gt; &amp;spanning_tree)</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    {</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        <a class="code" href="classcGroupRelation.html">cGroupRelation</a> new_relation;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        std::size_t src_index = boost::source(edge, *m_Graph);</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        std::size_t tgt_index = boost::target(edge, *m_Graph);</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        std::stack&lt;Edge&gt; edges_stack;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        <span class="keywordflow">while</span>(0 != spanning_tree[src_index])</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        {</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;            edges_stack.push(boost::edge(spanning_tree[src_index], src_index, *m_Graph).first);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;            src_index = spanning_tree[src_index];</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;        }</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;        <span class="keywordflow">if</span>(spanning_tree[src_index] != src_index)</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            edges_stack.push(boost::edge(spanning_tree[src_index], src_index, *m_Graph).first);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keywordflow">while</span>(!edges_stack.empty())</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        {</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            new_relation.<a class="code" href="classcGroupRelation.html#ab02575ade57648d354388c57eca2be8a">AddElement</a>((*m_Graph)[edges_stack.top()].first, 1);</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            edges_stack.pop();</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        }</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        new_relation.<a class="code" href="classcGroupRelation.html#ab02575ade57648d354388c57eca2be8a">AddElement</a>((*m_Graph)[edge].first, 1);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        <span class="keywordflow">while</span>(0 != spanning_tree[tgt_index])</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        {</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            new_relation.<a class="code" href="classcGroupRelation.html#ab02575ade57648d354388c57eca2be8a">AddElement</a>((*m_Graph)[boost::edge(spanning_tree[tgt_index], tgt_index, *m_Graph).first].first, -1);</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            tgt_index = spanning_tree[tgt_index];</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        }</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        <span class="keywordflow">if</span>(tgt_index != spanning_tree[tgt_index])</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            new_relation.<a class="code" href="classcGroupRelation.html#ab02575ade57648d354388c57eca2be8a">AddElement</a>((*m_Graph)[boost::edge(spanning_tree[tgt_index], tgt_index, *m_Graph).first].first, -1);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        m_DefRelations.push_back(new_relation);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;    }</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="classcCayleyGrf.html#a2598371d6a962b027539109023bc65b5">  227</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcCayleyGrf.html#a2598371d6a962b027539109023bc65b5">TraceRelations</a>()</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    {</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        <span class="keywordtype">bool</span> coloured = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;        <span class="keywordflow">while</span>(coloured)</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        {</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;            coloured = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;            <span class="keywordflow">for</span>(<span class="keyword">auto</span> rel_it = m_DefRelations.begin(); rel_it != m_DefRelations.end(); rel_it++)</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;            {</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                std::pair&lt;VertexIterator, VertexIterator&gt; vertex_it = boost::vertices(*m_Graph);</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;                <span class="keywordflow">for</span>( ; vertex_it.first != vertex_it.second; vertex_it.first++)</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                {</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;                    Vertex vert_follower = *vertex_it.first;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;                    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> found_edges = 0;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;                    Edge found_edge;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                    <span class="keywordflow">for</span>(<span class="keyword">auto</span> word_it = rel_it-&gt;begin(); word_it != rel_it-&gt;end(); word_it++)</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                    {</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                        <span class="keywordflow">if</span>(1 == word_it-&gt;second)</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;                        {</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;                            outEdge found_it, out_it, out_it_end; </div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;                            tie(out_it, out_it_end) = boost::out_edges(vert_follower, *m_Graph);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                            <span class="keywordflow">for</span>( ; out_it != out_it_end; out_it++)</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;                            {</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                                <span class="keywordflow">if</span>((*m_Graph)[*out_it].first == word_it-&gt;first)</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                                    <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                            }</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;                            <span class="keywordflow">if</span>(out_it != out_it_end)</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;                            {</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;                                <span class="keywordflow">if</span>(<span class="keyword">false</span> == (*m_Graph)[*out_it].second)</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                                {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;                                    found_edge = *out_it;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;                                    found_edges++;</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;                                }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;                                vert_follower = boost::target(*out_it, *m_Graph);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;                            }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;                        }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;                        {</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;                            assert(-1 == word_it-&gt;second);</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;                            inEdge found_it, in_it, in_it_end; </div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                            tie(in_it, in_it_end) = boost::in_edges(vert_follower, *m_Graph);</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;                            <span class="keywordflow">for</span>( ; in_it != in_it_end; in_it++)</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;                            {</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;                                <span class="keywordflow">if</span>((*m_Graph)[*in_it].first == word_it-&gt;first)</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                                    <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                            }</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;                            <span class="keywordflow">if</span>(in_it != in_it_end)</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;                            {</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;                                <span class="keywordflow">if</span>(<span class="keyword">false</span> == (*m_Graph)[*in_it].second)</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                                {</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;                                    found_edge = *in_it;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;                                    found_edges++;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                                }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;                                vert_follower = boost::source(*in_it, *m_Graph);</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;                            }</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;                        }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;                    }</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;                    <span class="keywordflow">if</span>(1 == found_edges)        <span class="comment">//colour edge</span></div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;                    {</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;                        (*m_Graph)[found_edge].second = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;                        coloured = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;                    }</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                }</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;            }</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        }</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    }</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    <span class="comment">//inner class that colours the edges in the spanning tree used in</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    <span class="comment">//the colouring algorithm  to obtain a set of defining relations</span></div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;    <span class="comment">//inherits from boost::default_dfs_visitor</span></div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> E, <span class="keyword">typename</span> Grf&gt;</div>
<div class="line"><a name="l00297"></a><span class="lineno"><a class="line" href="classcCayleyGrf_1_1cColourEdgesVis.html">  297</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classcCayleyGrf_1_1cColourEdgesVis.html">cColourEdgesVis</a> : <span class="keyword">public</span> boost::default_dfs_visitor</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    {</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;        <a class="code" href="classcCayleyGrf_1_1cColourEdgesVis.html">cColourEdgesVis</a>(std::vector&lt;E&gt; &amp;uncol_edges, std::vector&lt;std::size_t&gt; &amp;spanning_tree)</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;            :m_UncolouredEdges(uncol_edges),</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;            m_SpanningTree(spanning_tree)</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        {</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;            <span class="comment">//root is it&#39;s own predecesor</span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;            m_SpanningTree.push_back(0);</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        }</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        ~<a class="code" href="classcCayleyGrf_1_1cColourEdgesVis.html">cColourEdgesVis</a>()      {};</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        <span class="keywordtype">void</span> tree_edge(E edge, <span class="keyword">const</span> Grf&amp; graph)</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;        {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;            <span class="comment">//found edge in the spaning tree -&gt; colour edge</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;            (*<span class="keyword">const_cast&lt;</span>Grf*<span class="keyword">&gt;</span>(&amp;graph))[edge].second = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;            m_SpanningTree[boost::target(edge, graph)] = boost::source(edge, graph);</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;        }</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;        <span class="keywordtype">void</span> back_edge(E edge, <span class="keyword">const</span> Grf&amp; graph)</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;        {</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;            <span class="comment">//found edge not in the spaning tree</span></div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            <span class="comment">//add it to the list of uncoloured edges</span></div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;            m_UncolouredEdges.push_back(edge);</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        }</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;        <span class="keywordtype">void</span> forward_or_cross_edge(E edge, <span class="keyword">const</span> Grf&amp; graph)</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        {</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;            <span class="comment">//found edge not in the spaning tree</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;            <span class="comment">//add it to the list of uncoloured edges</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;            m_UncolouredEdges.push_back(edge);</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;        }</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    <span class="keyword">private</span>:</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;        std::vector&lt;E&gt; &amp;m_UncolouredEdges;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;        std::vector&lt;std::size_t&gt; &amp;m_SpanningTree;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;    };</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;    std::vector&lt;ElemType&gt; m_Elements;</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    std::vector&lt;ElemType&gt; m_Generators;</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    Graph                 *m_Graph;</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    std::vector&lt;cGroupRelation&gt; m_DefRelations;</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;};</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;<span class="preprocessor"></span></div>
<div class="ttc" id="classcGroupRelation_html_ab02575ade57648d354388c57eca2be8a"><div class="ttname"><a href="classcGroupRelation.html#ab02575ade57648d354388c57eca2be8a">cGroupRelation::AddElement</a></div><div class="ttdeci">void AddElement(std::size_t element, int power)</div><div class="ttdef"><b>Definition:</b> group_relation.h:24</div></div>
<div class="ttc" id="classcCayleyGrf_html_a2598371d6a962b027539109023bc65b5"><div class="ttname"><a href="classcCayleyGrf.html#a2598371d6a962b027539109023bc65b5">cCayleyGrf::TraceRelations</a></div><div class="ttdeci">void TraceRelations()</div><div class="ttdef"><b>Definition:</b> cayley_graph.h:227</div></div>
<div class="ttc" id="classcCayleyGrf_html_a8517436f6101a294fa7f30355efaa196"><div class="ttname"><a href="classcCayleyGrf.html#a8517436f6101a294fa7f30355efaa196">cCayleyGrf::BuildDefRelations</a></div><div class="ttdeci">void BuildDefRelations()</div><div class="ttdef"><b>Definition:</b> cayley_graph.h:126</div></div>
<div class="ttc" id="classcCayleyGrf_1_1cColourEdgesVis_html"><div class="ttname"><a href="classcCayleyGrf_1_1cColourEdgesVis.html">cCayleyGrf::cColourEdgesVis</a></div><div class="ttdef"><b>Definition:</b> cayley_graph.h:297</div></div>
<div class="ttc" id="classcCayleyGrf_html_a4a0ff02aa7bb9d556456b34e9f66f3d9"><div class="ttname"><a href="classcCayleyGrf.html#a4a0ff02aa7bb9d556456b34e9f66f3d9">cCayleyGrf::BuildGraph</a></div><div class="ttdeci">void BuildGraph()</div><div class="ttdef"><b>Definition:</b> cayley_graph.h:92</div></div>
<div class="ttc" id="classcGroupRelation_html"><div class="ttname"><a href="classcGroupRelation.html">cGroupRelation</a></div><div class="ttdef"><b>Definition:</b> group_relation.h:12</div></div>
<div class="ttc" id="classcCayleyGrf_html_aeb4d8533b65921ca63fdaaf4516f92f6"><div class="ttname"><a href="classcCayleyGrf.html#aeb4d8533b65921ca63fdaaf4516f92f6">cCayleyGrf::GetGraph</a></div><div class="ttdeci">Graph * GetGraph() const </div><div class="ttdef"><b>Definition:</b> cayley_graph.h:184</div></div>
<div class="ttc" id="classcCayleyGrf_html"><div class="ttname"><a href="classcCayleyGrf.html">cCayleyGrf</a></div><div class="ttdef"><b>Definition:</b> cayley_graph.h:24</div></div>
<div class="ttc" id="classcCayleyGrf_html_a1d6153e03d163ea10242b4088091c705"><div class="ttname"><a href="classcCayleyGrf.html#a1d6153e03d163ea10242b4088091c705">cCayleyGrf::Add_DefRelation</a></div><div class="ttdeci">void Add_DefRelation(const Edge &amp;edge, std::vector&lt; std::size_t &gt; &amp;spanning_tree)</div><div class="ttdef"><b>Definition:</b> cayley_graph.h:194</div></div>
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